On the dimension of a graph
Web3 de ago. de 2024 · We also study the change in the broadcast dimension of a graph under a single edge deletion. We show that both the additive increase and decrease of the … Web1 de abr. de 1998 · Our main new results are that the metric dimension of a graph with n nodes can be approximated in polynomial time within a factor of O(logn), and some …
On the dimension of a graph
Did you know?
WebThis naturally leads to the question as to whether classes of graphs with low Weisfeiler-Leman dimension generate classes of 2-nilpotent groups with low Weisfeiler-Leman … Web15 de jun. de 2024 · Jesse Geneson, Eunjeong Yi. The metric dimension, , of a graph is a graph parameter motivated by robot navigation that has been studied extensively. Let be a graph with vertex set , and let denote the length of a shortest path in . For a positive integer and for distinct , let and let . A subset is a distance- resolving set of if for any pair ...
Web13 de abr. de 2024 · What are resolving sets and the metric dimension of a graph? We'll be going over that with examples and definitions in today's video graph theory lesson! Res... http://www.scholarpedia.org/article/Metric_Dimension
Web1 de jul. de 2024 · A set of vertices S resolves a graph if every vertex is uniquely determined by its vector of distances to the vertices in S. The metric dimension of a graph is the … WebAn upper bound for the partition dimension of a bipartite graph G is given in terms of the cardinalities of its partite sets, and it is shown that the bound is attained if and only if G is …
WebHá 1 dia · Examples of N-dimensional graphs, and of data processing problems which can be applied to them. (a) A 2D grid graph representing a color image, and the 2D …
Web1 de jan. de 2002 · The metric dimension of graph obtained from a graph operation also has been studied such as Cartesian product graphs [5,8,14], join product graphs [3,4,26], corona product graphs ... higher physics 2019 past paperWeb1 de dez. de 2014 · In a graph G, cardinality of the smallest ordered set of vertices that distinguishes every element of V (G) is the (vertex) metric dimension of G.Similarly, the cardinality of such a set is the edge metric dimension of G, if it distinguishes E (G).In this paper these invariants are considered first for unicyclic graphs, and it is shown that the … higher physics course codeWeb1 de jul. de 2024 · Given a connected graph , the edge dimension, denoted , is the least size of a set that distinguishes every pair of edges of , in the sense that the edges have … higher physics 2019 marking schemeWeb4 de nov. de 2024 · ON THE STRONG METRIC DIMENSION OF A TOTAL GRAPH OF NONZERO ANNIHILATING IDEALS - Volume 105 Issue 3. Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a better experience on our websites. higher physics datasheetWeb8 de abr. de 2024 · We also show that the (k,t)-metric dimension of the corona product of a graph of order n and some nontrivial graph H equals n times the (k,2)-metric dimension of H. Section 5 deals with the problem of computing the (k,t) -metric dimension proving that is NP-hard for the case in which k is an odd integer. higher photography histogramWeb4 de jul. de 2024 · In this paper, we establish bounds on the domination number and the metric dimension of the co-normal product graph \(G_{H}\) of two simple graphs G and H in terms of parameters associated with G and H.We also give conditions on the graphs G and H for which the domination number of \(G_{H}\) is 1, 2, and the domination number … how find product key of my pcWebWe define the dimension of a graph 0, denoted dim 0, as the minimum number n such that G can be embedded into Euclidean re-spacen with E every edge of O having length 1. … how find range in excel